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Finding the Fourth Proportional to 3,397.75, 5,098.17 and 2,013.82

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Solution

The fourth proportional to 3,397.75, 5,098.17 and 2,013.82 is: 3,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.75 : 5,098.17 = 2,013.82 : x
  2. Step 2: Convert to fraction form
    3,397.75/5,098.17 = 2,013.82/x
  3. Step 3: Cross multiply
    3,397.75x = 5,098.17 × 2,013.82
  4. Step 4: Simplify right side
    3,397.75x = 10,266,796.71
  5. Step 5: Solve for x
    x = 10,266,796.71/3,397.75
  6. Step 6: Final answer
    x = 3,021.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.